Any other recommendations for rigorous DE and PDE books?

In summary, there are various introductory books for studying differential equations (DE) and partial differential equations (PDE), such as "Elementary Differential Equations" by Boyce and DiPrima, "Partial Differential Equations: An Introduction" by Strauss, and "Differential Equations and Their Applications" by Braun. For a more rigorous treatment of both DE and PDE, "Partial Differential Equations" by Evans and "Introduction to Partial Differential Equations" by LeVeque are highly regarded. Advanced resources for studying DE and PDE include "Partial Differential Equations" by Lawrence Evans, "Partial Differential Equations" by Fritz John, and "Partial Differential Equations of Mathematical Physics" by Arnold Sommerfeld. In terms of
  • #1
redrzewski
117
0
My plan is to work thru Rudin's Real and Complex Analysis, and then functional analysis, and then move on to DEs/PDEs.

Right now its looking like Arnold for DEs, and Evans for PDEs.

Any other recommendations?
thanks
 
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  • #2
Kreyszig - Advanced Engineering Mathematics 9ed , plenty of ODE and PDE stuff in there for you.
 
  • #3
Redrzewki that sounds like the ideal combo. Arnold is very geometric, but it is a beauty. And Evans is considered a very good grad PDE book.
 
  • #4
You cannot go wrong with Arnold and Evans. I don't know any better books.
 

FAQ: Any other recommendations for rigorous DE and PDE books?

What are some good introductory books for studying differential equations (DE) and partial differential equations (PDE)?

Some popular introductory books for studying DE and PDE include "Elementary Differential Equations" by Boyce and DiPrima, "Partial Differential Equations: An Introduction" by Strauss, and "Differential Equations and Their Applications" by Braun.

Are there any rigorous books that cover both DE and PDE in depth?

Yes, "Partial Differential Equations" by Evans and "Introduction to Partial Differential Equations" by LeVeque are both highly regarded for their rigorous treatment of both DE and PDE.

What are some good resources for studying advanced topics in DE and PDE?

Some advanced resources for studying DE and PDE include "Partial Differential Equations" by Lawrence Evans, "Partial Differential Equations" by Fritz John, and "Partial Differential Equations of Mathematical Physics" by Arnold Sommerfeld.

Are there any books that focus specifically on applications of DE and PDE?

Yes, "Applied Partial Differential Equations" by Haberman, "Partial Differential Equations for Scientists and Engineers" by Farlow, and "Partial Differential Equations with Fourier Series and Boundary Value Problems" by Asmar are all popular choices for studying the applications of DE and PDE.

What are some good books for self-study of DE and PDE?

"Ordinary Differential Equations" by Tenenbaum and Pollard, "Partial Differential Equations: Methods and Applications" by McOwen, and "Differential Equations: A Dynamical Systems Approach" by Hirsch are all highly recommended for self-study of DE and PDE.

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